Certificate for #4497 ⟨a, b | aaabaaba=bba⟩

Completion settings:

• Reduction order:
  • Left-to-right recursive path with deg(a) = 0; deg(c) = deg(b) = 1, c < b
• Auxiliary generators:
  1. bba=c

Axiom: aaabaaba=bba.

Referenced by [3].

Axiom: bba=c.

Defines rule #1.

Referenced by [3], [5].

Simplify [1] aaabaaba=bba.

Reduce RHS:

Defines rule #2.

Referenced by [4], [5].

Overlap of [3] aaabaaba=c with [3] aaabaaba=c:

Critical pair: aaabaabc=caabaaba.

Defines rule #4.

Overlap of [2] bba=c with [3] aaabaaba=c:

Critical pair: bbc=caabaaba.

Defines rule #3.